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Finding the Fourth Proportional to 1,428.75, 1,971.68 and 807.87

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Solution

The fourth proportional to 1,428.75, 1,971.68 and 807.87 is: 1,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.75 : 1,971.68 = 807.87 : x
  2. Step 2: Convert to fraction form
    1,428.75/1,971.68 = 807.87/x
  3. Step 3: Cross multiply
    1,428.75x = 1,971.68 × 807.87
  4. Step 4: Simplify right side
    1,428.75x = 1,592,857.08
  5. Step 5: Solve for x
    x = 1,592,857.08/1,428.75
  6. Step 6: Final answer
    x = 1,114.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.